Talk:Perpendicular

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[edit] Strange results with imaginary numbers

I moved the following here. It needs more explanation if it is to go back on the article page, please. --345Kai 08:34, 19 April 2006 (UTC)

This fact can also lead to strange (but correct) results with imaginary lines: e.g. the line y = ix is perpendicular with a line with ω = i, we see now that the line y = ix is perpendicular with itself! This seems odd but is nevertheless correct: imaginary lines can be seen as cubes in a 4-dimensional space.
If this is because i*i = -1, then it can be explained without involving ω. I'm ignorant of the geometric explanation though. Pomte 16:06, 5 December 2006 (UTC)
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